Home / 13,784.63-19,022.81-7,497

Finding the Fourth Proportional to 13,784.63, 19,022.81 and 7,497

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Solution

The fourth proportional to 13,784.63, 19,022.81 and 7,497 is: 10,345.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,784.63 : 19,022.81 = 7,497 : x
  2. Step 2: Convert to fraction form
    13,784.63/19,022.81 = 7,497/x
  3. Step 3: Cross multiply
    13,784.63x = 19,022.81 × 7,497
  4. Step 4: Simplify right side
    13,784.63x = 142,613,969.09
  5. Step 5: Solve for x
    x = 142,613,969.09/13,784.63
  6. Step 6: Final answer
    x = 10,345.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.